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The goddodekathol is equal to E100#^^#13 using Cascading-E Notation.[1] The term was coined by Sbiis Saibian.

Etymology

The name of this number is based on the prefix "god-" (meaning one hyperion at the top cascade level) and the suffix "-dodekathol" (meaning cascade level 12).

Approximations in other notations

Notation Approximation
BEAF \(X \uparrow\uparrow 12 \& 100\)
Fast-growing hierarchy \(f_{\omega\uparrow\uparrow13}(100)\)
Hardy hierarchy \(H_{\omega \uparrow \uparrow 14}(100)\)
Slow-growing hierarchy \(g_{\vartheta(\Omega \uparrow \uparrow 13)}(100)\)

Sources

  1. Saibian, Sbiis. 4.3.5 Cascading-E NumbersOne to Infinity
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